WebJun 7, 2024 · We explore and develop a Proper Orthogonal Decomposition (POD)-based deflation method for the solution of ill-conditioned linear systems, appearing in simulations of two-phase flow through highly heterogeneous porous media. We accelerate the convergence of a Preconditioned Conjugate Gradient (PCG) method achieving speed … WebMay 10, 2024 · has three matrix exponential functions, which are generally referred as ϕ functions of the zero, first and second order . ϕ 0 ( x ) = e x , ϕ 1 ( x ) = e x − 1
Residual and Restarting in Krylov Subspace Evaluation of the …
WebDeflated Restarting for Matrix Functions - We investigate an acceleration technique for restarted Krylov subspace methods for computing the action of a function of a large … WebJan 1, 2014 · Our method is applicable for functions of Hermitian and non-Hermitian matrices, requires no a priori spectral information, and runs with essentially constant … batman 1973
Deflated restarting for matrix functions - Citation formats
WebMay 1, 2024 · expm is the MATLAB built-in function for the matrix exponential exp (A), which implements the scaling and squaring method [29]. • Algorithm 1 is our shifted block FOM algorithm with deflated restarting, in which we solve the alternatively shifted linear systems (3.2) for the approximation of (3.1). • WebDEFLATED RESTARTING FOR MATRIX FUNCTIONS M. EIERMANN y, O.G. ERNST AND S. GUTTEL Abstract. We investigate an acceleration technique for restarted Krylov … WebMay 10, 2024 · Based on the analysis, we propose a deflated restarting scheme, compatible with the above regularization technique, to accelerate the convergence of restarted Krylov subspace approximation for EI methods. ... S. Deflated Restarting for Matrix Functions. SIAM J. Matrix Anal. Appl. 2011, 32, 621–641. [Google Scholar] … tera jeux